Answer:
To find the length of the third side, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's label the two given sides as a and b, and the unknown side as c (the hypotenuse). We can set up the equation as follows:
a^2 + b^2 = c^2
In this case, we are given the values of a = 2 and b = 5. Plugging these values into the equation, we get:
2^2 + 5^2 = c^2
Simplifying, we have:
4 + 25 = c^2
29 = c^2
To find the length of the third side, we need to take the square root of both sides of the equation:
√29 = √c^2
The square root of 29 is an irrational number, so the length of the third side is best represented in simplest radical form as √29. Therefore, the length of the third side is √29.
Explanation:
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